Chambers of 2-affine arrangements and freeness of 3-arrangements

Takuro Abe

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We give a lower bound on the number of chambers divided by a family of lines in the real plane. Also, a sufficient condition for 3-arrangements to be free is given in terms of chambers. To prove them, we give the upper bound on differences of exponents for balanced 2-multiarrangements in terms of the cardinality of hyperplanes.

Original languageEnglish
Pages (from-to)65-78
Number of pages14
JournalJournal of Algebraic Combinatorics
Issue number1
Publication statusPublished - Aug 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics


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